1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mars1129 [50]
2 years ago
12

You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles

per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?
Mathematics
1 answer:
Maslowich2 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour

You might be interested in
How many times can 14 go into 8574?
bearhunter [10]
612.4285714285714 is the answer
8 0
3 years ago
What is half of a teaspoon of vanilla
Ksivusya [100]

Answer:

I believe the answer would be: Half of a teaspoon of vanilla.

Step-by-step explanation:

6 0
3 years ago
Mia counts on in steps of 100 she starts at 946. Write the next number she says
Arada [10]

Answer:

100+946=1046

Ao the next no. Is 1046

4 0
2 years ago
Can some one help me with this I need help with it it's due tomorrow so plz help me
Fynjy0 [20]
Add the two and you should get 2 and 7/16
7 0
3 years ago
Standard form of 5y=35+10x what is the answer
ss7ja [257]

Answer: y=7+2x

Step-by-step explanation: Divide 5 by all. 5y/5=35/5 +10x/5.

4 0
3 years ago
Other questions:
  • Factorise 3x squared-13x-10
    14·1 answer
  • Solve for x <br> 1/2(6x-4)=3x-2
    8·1 answer
  • Bruce added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week. The table below shows the
    11·1 answer
  • Which is the endpoint of a ray?<br> Opoint R<br> O points<br> Opoint T<br> O point U
    7·1 answer
  • Volume of sphere if the radius is 6?
    14·1 answer
  • Phil has 7 quarts of hot chocolate to give his class mates. how many of phils friend's can have one cup of hot chocolate
    15·1 answer
  • State if the two vectors are parallel, orthogonal, or neither.<br><br> u=18i+8j<br><br> v=9i+4j
    15·1 answer
  • B) Is the relation a function? Use the vertical line test to decide.
    8·1 answer
  • What property involves using opposites?
    11·2 answers
  • Simplify this algebraic expression completely 5y - 3(y+2)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!